Quasi-Concave and Nonconcave FMODM Problems

  • Chian-Son Yu
  • Han-Lin Li
Part of the Springer Optimization and Its Applications book series (SOIA, volume 16)


A membership function may be concave-shaped or convex-shaped. In this chapter, first, concave and convex membership values are analyzed and, in practice, commonly used approaches for solving an fuzzy multi-objective decision-making (FMODM) problem are briefly reviewed. Then, some proposition and remarks are presented to solve a quasi-concave FMODM problem. The proposed method can directly solve a quasi-concave FMODM problem by using standard LP techniques.

Key words

Quasi-concave nonconcave LP 


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Copyright information

© Springer Science + Business Media, LLC 2008

Authors and Affiliations

  • Chian-Son Yu
    • 1
  • Han-Lin Li
    • 2
  1. 1.Institute of Business Administration, Department of Information ManagementShih Chien UniversityTaipeiTaiwan
  2. 2.School of Management, Institute of Information ManagementNational Chiao Tung UniversityHsinchiTaiwan

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